On some generalizations of Ramanujan’s continued fraction identities
Copyright policy )On some generalizations of Ramanujan’s continued fraction identities
Many of the continued fraction expansions of Ramanujan can be viewed as special cases of the expansion of the ratio of basic hypergeometric series: \(_ 2\phi_ 1(a,b;c;xq)/_ 2\phi_ 1(a,b;c;x).\) The authors find the related expansions for the ratios in which the numerator has been replaced by one of a number of similar basic hypergeometric series.
- University of Mysore India
q-continued fractions, Classical hypergeometric functions, \({}_2F_1\), continued fraction expansions, Continued fractions, Rogers-Ramanujan continued fractions, ratio of basic hypergeometric series, identities
q-continued fractions, Classical hypergeometric functions, \({}_2F_1\), continued fraction expansions, Continued fractions, Rogers-Ramanujan continued fractions, ratio of basic hypergeometric series, identities
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